Thermodynamic limit of the \(q\)-state Potts-Hopfield model with infinitely many patterns

DOI10.1007/BF01048882zbMath0900.92011MaRDI QIDQ1379450

Véronique Gayrard

Publication date: 24 March 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

disordered systemsPotts modelGibbs measuresmean field theoryalmost sure convergence of free energy

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (10)

Gibbs states of the Hopfield model in the regime of perfect memory ⋮ Rigorous bounds on the storage capacity of the dilute Hopfield model ⋮ The capacity of \(q\)-state Potts neural networks with parallel retrieval dynamics ⋮ An asymptotic maximum principle for essentially linear evolution models ⋮ Rigorous results on the thermodynamics of the dilute Hopfield model ⋮ The thermodynamics of the Curie-Weiss model with random couplings ⋮ Asymptotic behavior and aging of a low temperature cascading 2-GREM dynamics at extreme time scales ⋮ Large deviation principles for the Hopfield model and the Kac-Hopfield model ⋮ On the parallel dynamics of the \(Q\)-state Potts and \(Q\)-Ising neural networks ⋮ Unnamed Item

Cites Work

• Some rigorous results on the Hopfield neural network model
• Stability properties of Potts neural networks with biased patterns and low loading
• Modeling Brain Function
• BEHAVIOR IN LARGE DIMENSIONS OF THE POTTS AND HEISENBERG MODELS
• Unnamed Item

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